21102101000000 has 98 divisors (see below), whose sum is σ = 52342434578574. Its totient is φ = 8440840000000.

The previous prime is 21102100999943. The next prime is 21102101000053. The reversal of 21102101000000 is 10120112.

It can be written as a sum of positive squares in 7 ways, for example, as 19632555786496 + 1469545213504 = 4430864^2 + 1212248^2 .

It is a super-2 number, since 2×21102101000000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 9551051 + ... + 11551050.

Almost surely, 2^{21102101000000} is an apocalyptic number.

21102101000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21102101000000 is an abundant number, since it is smaller than the sum of its proper divisors (31240333578574).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21102101000000 is an frugal number, since it uses more digits than its factorization.

21102101000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21102143 (or 21102108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21102101000000 its reverse (10120112), we get a palindrome (21102111120112).

The spelling of 21102101000000 in words is "twenty-one trillion, one hundred two billion, one hundred one million", and thus it is an aban number.